{ "id": "hep-lat/9408001", "version": "v1", "published": "1994-08-01T16:39:44.000Z", "updated": "1994-08-01T16:39:44.000Z", "title": "Chiral perturbation theory, finite size effects and the three-dimensional $XY$ model", "authors": [ "S. Tominaga", "H. Yoneyama" ], "comment": "34 pages ( 9 PS files are included. harvmac and epsf macros are needed. ), KYUSHU-HET-17, SAGA-HE-65", "doi": "10.1103/PhysRevB.51.8243", "categories": [ "hep-lat", "cond-mat" ], "abstract": "We study finite size effects of the d=3 $XY$ model in terms of the chiral perturbation theory. We calculate by Monte Carlo simulations physical quantities which are, to order of $(1/L)^2$, uniquely determined only by two low energy constants. They are the magnetization and the helicity modulus (or the Goldstone boson decay constant) in infinite volume. We also pay a special attention to the region of the validity of the two possible expansions in the theory.", "revisions": [ { "version": "v1", "updated": "1994-08-01T16:39:44.000Z" } ], "analyses": { "keywords": [ "chiral perturbation theory", "goldstone boson decay constant", "three-dimensional", "monte carlo simulations physical quantities", "study finite size effects" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "inspire": 38727 } } }